An Advanced Method for Solving Fuzzy Transportation Problem with Minimum Cost Using Robust Ranking Method (RRT)

The aim of Fuzzy Transportation is to find the least transportation cost of some commodities through a capacitated network when the supply and demand of nodes and the capacity and cost of edges are represented as Fuzzy numbers. This paper deals about the Fuzzy transportation problem, where the transportation cost, supply and demand quantities are Fuzzy quantities. The objective of Fuzzy transportation problem is to determine the shipping schedule that minimizes the total transportation cost while satisfying Fuzzy supply and Fuzzy demand limits. Using Robust Ranking Method Fuzzy quantities are transformed into Crisp quantities. To obtain the Optimal Solution a new algorithm LOCFTP is proposed. Finally a Numerical illustration is given to check the validity of the proposal.